Answer: Parallelogram is a kind of quadrilateral where as there are some quadrilaterals (like trapezoid , kite, .. ) that do not satisfy the properties of parallelograms.
Step-by-step explanation:
A quadrilateral is a closed polygon having fours sides.
A parallelogram is a kind of quadrilateral having following properties:
Its opposite sides and opposite angles are equal.
The sum of adjacent angles is 180°.
The diagonal of parallelogram bisect each other.
A Trapezoid is also a quadrilateral . It has only one pair of parallel sides. (The other one are not parallel).
So , all quadrilaterals not parallelograms.
Therefore, parallelograms are always quadrilaterals but quadrilaterals are sometimes parallelograms because parallelogram is a kind of quadrilateral where as there are some quadrilaterals (trapezoid , kite, .. ) ) that do not satisfy the properties of parallelograms.
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Answer:
<em>1620in³</em>
Step-by-step explanation:
Volume of a rectangular prism = BH
B is the Base area
H is the height of the prism.
Given
B = 180in²
H = 9in
get the volume of the prism
Volume of the prism = 180 * 9
Volume of the prism = 1620in³
<em>Hence the volume of the rectangular prism is 1620in³</em>
Answer:
$1.20
Step-by-step explanation:
Ratio:
Grams : Kilograms
1 : .001
Multiply both sides by 20 to convert grams to kilograms:
Grams : Kilograms
1 : .001
x20 x20
20 : .02
This means that 20 grams of lead = .02 kilograms of lead
Price:
Cost : Kilogram
$60 : 1
Multiply both sides by .02 to find the price of the lead:
Cost : Kilogram
$60 : 1
x.02 x.02
$1.20 : .02
Therefore, .02 kg of lead costs $1.20.
Answer:
if the diameter of the circle is 25, then the radius will be 12.5.
A=3.14(12.5)2 --> 490.9m^2
C= 2*3.14(12.5)---> 78.5 m
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
